Properties

Label 507.2.t.b.4.4
Level $507$
Weight $2$
Character 507.4
Analytic conductor $4.048$
Analytic rank $0$
Dimension $360$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 507 = 3 \cdot 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 507.t (of order \(78\), degree \(24\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.04841538248\)
Analytic rank: \(0\)
Dimension: \(360\)
Relative dimension: \(15\) over \(\Q(\zeta_{78})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{78}]$

Embedding invariants

Embedding label 4.4
Character \(\chi\) \(=\) 507.4
Dual form 507.2.t.b.127.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.79660 - 0.0724007i) q^{2} +(-0.278217 + 0.960518i) q^{3} +(1.22903 + 0.0992178i) q^{4} +(1.73729 + 0.658868i) q^{5} +(0.569389 - 1.70553i) q^{6} +(1.36244 + 3.19777i) q^{7} +(1.36900 + 0.166227i) q^{8} +(-0.845190 - 0.534466i) q^{9} +O(q^{10})\) \(q+(-1.79660 - 0.0724007i) q^{2} +(-0.278217 + 0.960518i) q^{3} +(1.22903 + 0.0992178i) q^{4} +(1.73729 + 0.658868i) q^{5} +(0.569389 - 1.70553i) q^{6} +(1.36244 + 3.19777i) q^{7} +(1.36900 + 0.166227i) q^{8} +(-0.845190 - 0.534466i) q^{9} +(-3.07353 - 1.30951i) q^{10} +(2.46967 + 3.90546i) q^{11} +(-0.437239 + 1.15290i) q^{12} +(-3.37805 - 1.26048i) q^{13} +(-2.21625 - 5.84376i) q^{14} +(-1.11620 + 1.48539i) q^{15} +(-4.88165 - 0.793346i) q^{16} +(4.77680 - 2.03520i) q^{17} +(1.47978 + 1.02142i) q^{18} +(4.15553 - 2.39920i) q^{19} +(2.06982 + 0.982141i) q^{20} +(-3.45057 + 0.418975i) q^{21} +(-4.15425 - 7.19538i) q^{22} +(0.442066 - 0.765680i) q^{23} +(-0.540545 + 1.26871i) q^{24} +(-1.15847 - 1.02632i) q^{25} +(5.97775 + 2.50916i) q^{26} +(0.748511 - 0.663123i) q^{27} +(1.35721 + 4.06534i) q^{28} +(-0.225646 + 5.59934i) q^{29} +(2.11291 - 2.58785i) q^{30} +(2.03491 + 2.29694i) q^{31} +(6.01058 + 1.22707i) q^{32} +(-4.43837 + 1.28559i) q^{33} +(-8.72937 + 3.31061i) q^{34} +(0.260052 + 6.45312i) q^{35} +(-0.985738 - 0.740734i) q^{36} +(-10.1464 + 2.07141i) q^{37} +(-7.63955 + 4.00955i) q^{38} +(2.15055 - 2.89399i) q^{39} +(2.26884 + 1.19078i) q^{40} +(4.35141 + 1.26040i) q^{41} +(6.22964 - 0.502908i) q^{42} +(-0.221516 + 1.08506i) q^{43} +(2.64781 + 5.04498i) q^{44} +(-1.11620 - 1.48539i) q^{45} +(-0.849653 + 1.34362i) q^{46} +(-2.51231 + 1.73412i) q^{47} +(2.12018 - 4.46819i) q^{48} +(-3.52039 + 3.66512i) q^{49} +(2.00702 + 1.92776i) q^{50} +(0.625861 + 5.15443i) q^{51} +(-4.02666 - 1.88433i) q^{52} +(-1.00321 + 8.26221i) q^{53} +(-1.39279 + 1.13718i) q^{54} +(1.71735 + 8.41212i) q^{55} +(1.33363 + 4.60423i) q^{56} +(1.14833 + 4.65896i) q^{57} +(0.810792 - 10.0435i) q^{58} +(-1.55400 - 9.56212i) q^{59} +(-1.51922 + 1.71485i) q^{60} +(-5.01491 + 3.76846i) q^{61} +(-3.48963 - 4.27403i) q^{62} +(0.557575 - 3.43090i) q^{63} +(-1.10583 - 0.272563i) q^{64} +(-5.03816 - 4.41551i) q^{65} +(8.06708 - 1.98836i) q^{66} +(0.331435 + 4.10556i) q^{67} +(6.07277 - 2.02739i) q^{68} +(0.612459 + 0.637638i) q^{69} -11.6125i q^{70} +(0.0431256 - 0.0414227i) q^{71} +(-1.06823 - 0.872180i) q^{72} +(1.09734 - 2.09081i) q^{73} +(18.3791 - 2.98690i) q^{74} +(1.30811 - 0.827196i) q^{75} +(5.34533 - 2.53639i) q^{76} +(-9.12398 + 13.2184i) q^{77} +(-4.07321 + 5.04365i) q^{78} +(5.17923 + 7.50342i) q^{79} +(-7.95815 - 4.59464i) q^{80} +(0.428693 + 0.903450i) q^{81} +(-7.72651 - 2.57949i) q^{82} +(0.824219 - 3.34399i) q^{83} +(-4.28243 + 0.172576i) q^{84} +(9.63963 - 0.388464i) q^{85} +(0.476536 - 1.93338i) q^{86} +(-5.31549 - 1.77457i) q^{87} +(2.73179 + 5.75712i) q^{88} +(9.75400 + 5.63147i) q^{89} +(1.89783 + 2.74948i) q^{90} +(-0.571665 - 12.5195i) q^{91} +(0.619282 - 0.897185i) q^{92} +(-2.77240 + 1.31552i) q^{93} +(4.63917 - 2.93363i) q^{94} +(8.80013 - 1.43016i) q^{95} +(-2.85087 + 5.43188i) q^{96} +(-7.24203 - 5.91294i) q^{97} +(6.59011 - 6.32989i) q^{98} -4.62081i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 360q - 15q^{3} - 14q^{4} + 3q^{7} + 15q^{9} + O(q^{10}) \) \( 360q - 15q^{3} - 14q^{4} + 3q^{7} + 15q^{9} + 6q^{11} - 28q^{12} + 6q^{13} + 4q^{14} - 6q^{15} + 20q^{16} - 6q^{19} - 12q^{20} - 28q^{22} + 46q^{23} - 6q^{25} - 39q^{26} + 30q^{27} - 6q^{28} + 43q^{29} + 26q^{31} - 195q^{32} + 19q^{33} + 65q^{34} + 84q^{35} - 14q^{36} - 65q^{38} - 2q^{39} + 12q^{41} - 128q^{42} + 83q^{43} - 39q^{44} - 6q^{45} - 20q^{48} + 72q^{49} - 52q^{50} - 55q^{52} + 49q^{53} - 49q^{55} - 2q^{56} + 26q^{57} + 26q^{58} - 202q^{59} - 182q^{60} - 3q^{61} - 65q^{62} - 3q^{63} - 14q^{64} - 58q^{65} + 48q^{66} - 41q^{67} + 139q^{68} + 6q^{69} - 60q^{71} - 52q^{73} - 269q^{74} + 23q^{75} - 14q^{76} + 70q^{77} - 65q^{78} + 18q^{79} + 492q^{80} + 15q^{81} - 65q^{82} + 78q^{83} - 6q^{84} - 91q^{85} - 169q^{86} + 48q^{87} - 522q^{88} - 12q^{89} + 373q^{91} + 72q^{92} - 3q^{93} - 13q^{94} - 110q^{95} + 65q^{96} - 121q^{97} - 104q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).

\(n\) \(170\) \(340\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{78}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.79660 0.0724007i −1.27039 0.0511950i −0.604113 0.796898i \(-0.706473\pi\)
−0.666278 + 0.745703i \(0.732114\pi\)
\(3\) −0.278217 + 0.960518i −0.160629 + 0.554555i
\(4\) 1.22903 + 0.0992178i 0.614516 + 0.0496089i
\(5\) 1.73729 + 0.658868i 0.776941 + 0.294655i 0.711022 0.703170i \(-0.248233\pi\)
0.0659193 + 0.997825i \(0.479002\pi\)
\(6\) 0.569389 1.70553i 0.232452 0.696279i
\(7\) 1.36244 + 3.19777i 0.514954 + 1.20864i 0.951133 + 0.308782i \(0.0999213\pi\)
−0.436179 + 0.899860i \(0.643668\pi\)
\(8\) 1.36900 + 0.166227i 0.484016 + 0.0587702i
\(9\) −0.845190 0.534466i −0.281730 0.178155i
\(10\) −3.07353 1.30951i −0.971934 0.414103i
\(11\) 2.46967 + 3.90546i 0.744632 + 1.17754i 0.978695 + 0.205320i \(0.0658235\pi\)
−0.234063 + 0.972221i \(0.575202\pi\)
\(12\) −0.437239 + 1.15290i −0.126220 + 0.332815i
\(13\) −3.37805 1.26048i −0.936901 0.349594i
\(14\) −2.21625 5.84376i −0.592317 1.56181i
\(15\) −1.11620 + 1.48539i −0.288202 + 0.383527i
\(16\) −4.88165 0.793346i −1.22041 0.198336i
\(17\) 4.77680 2.03520i 1.15854 0.493609i 0.274764 0.961512i \(-0.411400\pi\)
0.883780 + 0.467902i \(0.154990\pi\)
\(18\) 1.47978 + 1.02142i 0.348787 + 0.240750i
\(19\) 4.15553 2.39920i 0.953344 0.550414i 0.0592260 0.998245i \(-0.481137\pi\)
0.894118 + 0.447831i \(0.147803\pi\)
\(20\) 2.06982 + 0.982141i 0.462825 + 0.219613i
\(21\) −3.45057 + 0.418975i −0.752975 + 0.0914278i
\(22\) −4.15425 7.19538i −0.885690 1.53406i
\(23\) 0.442066 0.765680i 0.0921771 0.159655i −0.816250 0.577699i \(-0.803951\pi\)
0.908427 + 0.418044i \(0.137284\pi\)
\(24\) −0.540545 + 1.26871i −0.110338 + 0.258974i
\(25\) −1.15847 1.02632i −0.231695 0.205264i
\(26\) 5.97775 + 2.50916i 1.17233 + 0.492086i
\(27\) 0.748511 0.663123i 0.144051 0.127618i
\(28\) 1.35721 + 4.06534i 0.256488 + 0.768276i
\(29\) −0.225646 + 5.59934i −0.0419014 + 1.03977i 0.832336 + 0.554272i \(0.187003\pi\)
−0.874237 + 0.485500i \(0.838638\pi\)
\(30\) 2.11291 2.58785i 0.385764 0.472475i
\(31\) 2.03491 + 2.29694i 0.365481 + 0.412543i 0.902269 0.431175i \(-0.141901\pi\)
−0.536787 + 0.843718i \(0.680362\pi\)
\(32\) 6.01058 + 1.22707i 1.06253 + 0.216917i
\(33\) −4.43837 + 1.28559i −0.772621 + 0.223793i
\(34\) −8.72937 + 3.31061i −1.49707 + 0.567765i
\(35\) 0.260052 + 6.45312i 0.0439568 + 1.09078i
\(36\) −0.985738 0.740734i −0.164290 0.123456i
\(37\) −10.1464 + 2.07141i −1.66806 + 0.340538i −0.939002 0.343910i \(-0.888248\pi\)
−0.729062 + 0.684448i \(0.760043\pi\)
\(38\) −7.63955 + 4.00955i −1.23930 + 0.650434i
\(39\) 2.15055 2.89399i 0.344363 0.463409i
\(40\) 2.26884 + 1.19078i 0.358735 + 0.188279i
\(41\) 4.35141 + 1.26040i 0.679576 + 0.196842i 0.600015 0.799989i \(-0.295161\pi\)
0.0795605 + 0.996830i \(0.474648\pi\)
\(42\) 6.22964 0.502908i 0.961254 0.0776005i
\(43\) −0.221516 + 1.08506i −0.0337809 + 0.165470i −0.993182 0.116576i \(-0.962808\pi\)
0.959401 + 0.282046i \(0.0910131\pi\)
\(44\) 2.64781 + 5.04498i 0.399172 + 0.760559i
\(45\) −1.11620 1.48539i −0.166393 0.221429i
\(46\) −0.849653 + 1.34362i −0.125275 + 0.198106i
\(47\) −2.51231 + 1.73412i −0.366457 + 0.252947i −0.737036 0.675854i \(-0.763775\pi\)
0.370578 + 0.928801i \(0.379160\pi\)
\(48\) 2.12018 4.46819i 0.306022 0.644928i
\(49\) −3.52039 + 3.66512i −0.502913 + 0.523588i
\(50\) 2.00702 + 1.92776i 0.283835 + 0.272627i
\(51\) 0.625861 + 5.15443i 0.0876381 + 0.721765i
\(52\) −4.02666 1.88433i −0.558398 0.261310i
\(53\) −1.00321 + 8.26221i −0.137802 + 1.13490i 0.745636 + 0.666353i \(0.232146\pi\)
−0.883438 + 0.468548i \(0.844777\pi\)
\(54\) −1.39279 + 1.13718i −0.189535 + 0.154750i
\(55\) 1.71735 + 8.41212i 0.231567 + 1.13429i
\(56\) 1.33363 + 4.60423i 0.178214 + 0.615266i
\(57\) 1.14833 + 4.65896i 0.152100 + 0.617094i
\(58\) 0.810792 10.0435i 0.106462 1.31877i
\(59\) −1.55400 9.56212i −0.202313 1.24488i −0.867209 0.497945i \(-0.834088\pi\)
0.664896 0.746936i \(-0.268476\pi\)
\(60\) −1.51922 + 1.71485i −0.196131 + 0.221386i
\(61\) −5.01491 + 3.76846i −0.642093 + 0.482501i −0.871219 0.490895i \(-0.836670\pi\)
0.229126 + 0.973397i \(0.426413\pi\)
\(62\) −3.48963 4.27403i −0.443184 0.542802i
\(63\) 0.557575 3.43090i 0.0702479 0.432253i
\(64\) −1.10583 0.272563i −0.138229 0.0340704i
\(65\) −5.03816 4.41551i −0.624907 0.547677i
\(66\) 8.06708 1.98836i 0.992989 0.244750i
\(67\) 0.331435 + 4.10556i 0.0404912 + 0.501573i 0.984938 + 0.172909i \(0.0553166\pi\)
−0.944447 + 0.328665i \(0.893401\pi\)
\(68\) 6.07277 2.02739i 0.736431 0.245857i
\(69\) 0.612459 + 0.637638i 0.0737314 + 0.0767626i
\(70\) 11.6125i 1.38796i
\(71\) 0.0431256 0.0414227i 0.00511807 0.00491597i −0.690161 0.723656i \(-0.742460\pi\)
0.695279 + 0.718740i \(0.255281\pi\)
\(72\) −1.06823 0.872180i −0.125892 0.102787i
\(73\) 1.09734 2.09081i 0.128434 0.244710i −0.812745 0.582620i \(-0.802028\pi\)
0.941179 + 0.337910i \(0.109720\pi\)
\(74\) 18.3791 2.98690i 2.13653 0.347220i
\(75\) 1.30811 0.827196i 0.151047 0.0955164i
\(76\) 5.34533 2.53639i 0.613151 0.290944i
\(77\) −9.12398 + 13.2184i −1.03977 + 1.50637i
\(78\) −4.07321 + 5.04365i −0.461200 + 0.571081i
\(79\) 5.17923 + 7.50342i 0.582709 + 0.844200i 0.997849 0.0655576i \(-0.0208826\pi\)
−0.415139 + 0.909758i \(0.636267\pi\)
\(80\) −7.95815 4.59464i −0.889748 0.513696i
\(81\) 0.428693 + 0.903450i 0.0476325 + 0.100383i
\(82\) −7.72651 2.57949i −0.853250 0.284857i
\(83\) 0.824219 3.34399i 0.0904698 0.367050i −0.908204 0.418527i \(-0.862547\pi\)
0.998674 + 0.0514765i \(0.0163927\pi\)
\(84\) −4.28243 + 0.172576i −0.467251 + 0.0188296i
\(85\) 9.63963 0.388464i 1.04556 0.0421348i
\(86\) 0.476536 1.93338i 0.0513862 0.208482i
\(87\) −5.31549 1.77457i −0.569880 0.190254i
\(88\) 2.73179 + 5.75712i 0.291210 + 0.613711i
\(89\) 9.75400 + 5.63147i 1.03392 + 0.596935i 0.918106 0.396336i \(-0.129718\pi\)
0.115816 + 0.993271i \(0.463052\pi\)
\(90\) 1.89783 + 2.74948i 0.200049 + 0.289820i
\(91\) −0.571665 12.5195i −0.0599268 1.31240i
\(92\) 0.619282 0.897185i 0.0645646 0.0935380i
\(93\) −2.77240 + 1.31552i −0.287485 + 0.136413i
\(94\) 4.63917 2.93363i 0.478494 0.302581i
\(95\) 8.80013 1.43016i 0.902874 0.146731i
\(96\) −2.85087 + 5.43188i −0.290966 + 0.554389i
\(97\) −7.24203 5.91294i −0.735317 0.600368i 0.189007 0.981976i \(-0.439473\pi\)
−0.924324 + 0.381608i \(0.875370\pi\)
\(98\) 6.59011 6.32989i 0.665702 0.639415i
\(99\) 4.62081i 0.464409i
\(100\) −1.32197 1.37632i −0.132197 0.137632i
\(101\) −1.36405 + 0.455387i −0.135728 + 0.0453127i −0.383720 0.923449i \(-0.625357\pi\)
0.247992 + 0.968762i \(0.420229\pi\)
\(102\) −0.751241 9.30579i −0.0743839 0.921410i
\(103\) 3.30217 0.813912i 0.325372 0.0801971i −0.0732462 0.997314i \(-0.523336\pi\)
0.398619 + 0.917117i \(0.369490\pi\)
\(104\) −4.41503 2.28713i −0.432929 0.224271i
\(105\) −6.27069 1.54559i −0.611957 0.150834i
\(106\) 2.40057 14.7713i 0.233164 1.43471i
\(107\) −5.89021 7.21419i −0.569428 0.697422i 0.406960 0.913446i \(-0.366589\pi\)
−0.976388 + 0.216023i \(0.930691\pi\)
\(108\) 0.985738 0.740734i 0.0948526 0.0712771i
\(109\) 7.84499 8.85516i 0.751414 0.848171i −0.241075 0.970506i \(-0.577500\pi\)
0.992489 + 0.122336i \(0.0390385\pi\)
\(110\) −2.47635 15.2376i −0.236111 1.45285i
\(111\) 0.833289 10.3221i 0.0790923 0.979734i
\(112\) −4.11403 16.6913i −0.388739 1.57718i
\(113\) −3.29039 11.3598i −0.309534 1.06864i −0.952952 0.303121i \(-0.901971\pi\)
0.643418 0.765515i \(-0.277516\pi\)
\(114\) −1.72578 8.45345i −0.161635 0.791738i
\(115\) 1.27248 1.03895i 0.118659 0.0968824i
\(116\) −0.832880 + 6.85938i −0.0773310 + 0.636878i
\(117\) 2.18141 + 2.87080i 0.201671 + 0.265405i
\(118\) 2.09961 + 17.2919i 0.193285 + 1.59184i
\(119\) 13.0162 + 12.5022i 1.19319 + 1.14608i
\(120\) −1.77500 + 1.84797i −0.162034 + 0.168695i
\(121\) −4.43778 + 9.35242i −0.403434 + 0.850220i
\(122\) 9.28264 6.40734i 0.840411 0.580094i
\(123\) −2.42128 + 3.82894i −0.218319 + 0.345244i
\(124\) 2.27308 + 3.02492i 0.204128 + 0.271645i
\(125\) −5.65376 10.7723i −0.505688 0.963507i
\(126\) −1.25014 + 6.12360i −0.111371 + 0.545534i
\(127\) −20.1401 + 1.62588i −1.78715 + 0.144273i −0.929227 0.369510i \(-0.879526\pi\)
−0.857920 + 0.513783i \(0.828243\pi\)
\(128\) −9.81770 2.84373i −0.867770 0.251353i
\(129\) −0.980587 0.514652i −0.0863359 0.0453126i
\(130\) 8.73190 + 8.29769i 0.765838 + 0.727756i
\(131\) 1.44657 0.759220i 0.126388 0.0663334i −0.400344 0.916365i \(-0.631109\pi\)
0.526732 + 0.850031i \(0.323417\pi\)
\(132\) −5.58246 + 1.13967i −0.485890 + 0.0991952i
\(133\) 13.3337 + 10.0197i 1.15618 + 0.868814i
\(134\) −0.298212 7.40006i −0.0257616 0.639268i
\(135\) 1.73729 0.658868i 0.149522 0.0567064i
\(136\) 6.87776 1.99217i 0.589763 0.170827i
\(137\) 21.1039 + 4.30839i 1.80303 + 0.368091i 0.979856 0.199703i \(-0.0639978\pi\)
0.823171 + 0.567794i \(0.192203\pi\)
\(138\) −1.05418 1.18993i −0.0897379 0.101293i
\(139\) 11.8901 14.5627i 1.00851 1.23519i 0.0367203 0.999326i \(-0.488309\pi\)
0.971785 0.235869i \(-0.0757936\pi\)
\(140\) −0.320652 + 7.95690i −0.0271001 + 0.672481i
\(141\) −0.966686 2.89558i −0.0814096 0.243852i
\(142\) −0.0804787 + 0.0712979i −0.00675363 + 0.00598319i
\(143\) −3.41988 16.3058i −0.285985 1.36356i
\(144\) 3.70191 + 3.27960i 0.308492 + 0.273300i
\(145\) −4.08124 + 9.57902i −0.338929 + 0.795495i
\(146\) −2.12286 + 3.67691i −0.175689 + 0.304303i
\(147\) −2.54098 4.40110i −0.209576 0.362997i
\(148\) −12.6758 + 1.53912i −1.04195 + 0.126515i
\(149\) −13.1738 6.25103i −1.07924 0.512104i −0.195795 0.980645i \(-0.562729\pi\)
−0.883442 + 0.468541i \(0.844780\pi\)
\(150\) −2.41004 + 1.39144i −0.196779 + 0.113610i
\(151\) −14.0646 9.70807i −1.14456 0.790032i −0.164039 0.986454i \(-0.552452\pi\)
−0.980519 + 0.196422i \(0.937068\pi\)
\(152\) 6.08775 2.59375i 0.493782 0.210381i
\(153\) −5.12505 0.832902i −0.414336 0.0673361i
\(154\) 17.3492 23.0876i 1.39804 1.86045i
\(155\) 2.02186 + 5.33120i 0.162400 + 0.428212i
\(156\) 2.93022 3.34343i 0.234606 0.267689i
\(157\) −6.20449 + 16.3599i −0.495173 + 1.30566i 0.421792 + 0.906693i \(0.361401\pi\)
−0.916964 + 0.398970i \(0.869368\pi\)
\(158\) −8.76178 13.8557i −0.697050 1.10230i
\(159\) −7.65689 3.26230i −0.607231 0.258717i
\(160\) 9.63366 + 6.09196i 0.761608 + 0.481612i
\(161\) 3.05075 + 0.370429i 0.240433 + 0.0291939i
\(162\) −0.704781 1.65418i −0.0553728 0.129965i
\(163\) −0.941616 + 2.82048i −0.0737530 + 0.220917i −0.978959 0.204055i \(-0.934588\pi\)
0.905206 + 0.424972i \(0.139716\pi\)
\(164\) 5.22297 + 1.98081i 0.407845 + 0.154675i
\(165\) −8.55779 0.690856i −0.666223 0.0537831i
\(166\) −1.72290 + 5.94815i −0.133723 + 0.461666i
\(167\) −15.0296 0.605673i −1.16303 0.0468684i −0.548769 0.835974i \(-0.684903\pi\)
−0.614258 + 0.789106i \(0.710544\pi\)
\(168\) −4.79349 −0.369825
\(169\) 9.82238 + 8.51592i 0.755568 + 0.655071i
\(170\) −17.3467 −1.33043
\(171\) −4.79450 0.193212i −0.366645 0.0147753i
\(172\) −0.379907 + 1.31159i −0.0289677 + 0.100008i
\(173\) 16.7032 + 1.34842i 1.26992 + 0.102519i 0.696989 0.717082i \(-0.254523\pi\)
0.572935 + 0.819601i \(0.305805\pi\)
\(174\) 9.42135 + 3.57305i 0.714231 + 0.270872i
\(175\) 1.70358 5.10283i 0.128778 0.385738i
\(176\) −8.95766 21.0244i −0.675209 1.58477i
\(177\) 9.61693 + 1.16771i 0.722853 + 0.0877702i
\(178\) −17.1164 10.8237i −1.28292 0.811273i
\(179\) −10.1411 4.32071i −0.757980 0.322945i −0.0218285 0.999762i \(-0.506949\pi\)
−0.736152 + 0.676817i \(0.763359\pi\)
\(180\) −1.22447 1.93634i −0.0912665 0.144326i
\(181\) 3.18127 8.38832i 0.236462 0.623499i −0.763284 0.646064i \(-0.776414\pi\)
0.999745 + 0.0225650i \(0.00718329\pi\)
\(182\) 0.120633 + 22.5340i 0.00894192 + 1.67033i
\(183\) −2.22444 5.86536i −0.164435 0.433580i
\(184\) 0.732467 0.974736i 0.0539982 0.0718585i
\(185\) −18.9921 3.08652i −1.39633 0.226925i
\(186\) 5.07616 2.16275i 0.372202 0.158580i
\(187\) 19.7455 + 13.6293i 1.44393 + 0.996676i
\(188\) −3.25976 + 1.88202i −0.237742 + 0.137261i
\(189\) 3.14031 + 1.49010i 0.228424 + 0.108389i
\(190\) −15.9139 + 1.93230i −1.15452 + 0.140184i
\(191\) 10.0780 + 17.4556i 0.729216 + 1.26304i 0.957215 + 0.289378i \(0.0934486\pi\)
−0.227998 + 0.973662i \(0.573218\pi\)
\(192\) 0.569463 0.986339i 0.0410974 0.0711829i
\(193\) −1.89454 + 4.44666i −0.136372 + 0.320077i −0.974139 0.225952i \(-0.927451\pi\)
0.837766 + 0.546029i \(0.183861\pi\)
\(194\) 12.5830 + 11.1475i 0.903404 + 0.800347i
\(195\) 5.64288 3.61077i 0.404095 0.258573i
\(196\) −4.69032 + 4.15526i −0.335023 + 0.296804i
\(197\) 6.54691 + 19.6104i 0.466448 + 1.39718i 0.874856 + 0.484383i \(0.160956\pi\)
−0.408408 + 0.912799i \(0.633916\pi\)
\(198\) −0.334550 + 8.30177i −0.0237754 + 0.589981i
\(199\) 10.6981 13.1028i 0.758367 0.928831i −0.240761 0.970584i \(-0.577397\pi\)
0.999128 + 0.0417537i \(0.0132945\pi\)
\(200\) −1.41535 1.59761i −0.100081 0.112968i
\(201\) −4.03567 0.823888i −0.284654 0.0581126i
\(202\) 2.48363 0.719392i 0.174747 0.0506162i
\(203\) −18.2128 + 6.90721i −1.27829 + 0.484791i
\(204\) 0.257793 + 6.39706i 0.0180491 + 0.447884i
\(205\) 6.72923 + 5.05669i 0.469990 + 0.353175i
\(206\) −5.99162 + 1.22320i −0.417456 + 0.0852243i
\(207\) −0.782860 + 0.410876i −0.0544125 + 0.0285579i
\(208\) 15.4904 + 8.83318i 1.07407 + 0.612471i
\(209\) 19.6327 + 10.3041i 1.35803 + 0.712747i
\(210\) 11.1541 + 3.23081i 0.769703 + 0.222947i
\(211\) 16.8422 1.35964i 1.15946 0.0936015i 0.514275 0.857626i \(-0.328061\pi\)
0.645188 + 0.764024i \(0.276779\pi\)
\(212\) −2.05274 + 10.0550i −0.140983 + 0.690579i
\(213\) 0.0277890 + 0.0529475i 0.00190407 + 0.00362790i
\(214\) 10.0601 + 13.3875i 0.687692 + 0.915151i
\(215\) −1.09975 + 1.73911i −0.0750022 + 0.118606i
\(216\) 1.13494 0.783395i 0.0772231 0.0533033i
\(217\) −4.57264 + 9.63662i −0.310411 + 0.654177i
\(218\) −14.7355 + 15.3412i −0.998012 + 1.03904i
\(219\) 1.70296 + 1.63571i 0.115075 + 0.110531i
\(220\) 1.27604 + 10.5092i 0.0860308 + 0.708527i
\(221\) −18.7016 + 0.853948i −1.25800 + 0.0574428i
\(222\) −2.24442 + 18.4845i −0.150636 + 1.24060i
\(223\) 22.0466 18.0005i 1.47635 1.20540i 0.546503 0.837457i \(-0.315959\pi\)
0.929847 0.367946i \(-0.119939\pi\)
\(224\) 4.26518 + 20.8922i 0.284979 + 1.39592i
\(225\) 0.430599 + 1.48660i 0.0287066 + 0.0991067i
\(226\) 5.08908 + 20.6472i 0.338521 + 1.37343i
\(227\) −0.204252 + 2.53011i −0.0135567 + 0.167930i 0.986436 + 0.164145i \(0.0524866\pi\)
−0.999993 + 0.00378422i \(0.998795\pi\)
\(228\) 0.949084 + 5.83995i 0.0628546 + 0.386760i
\(229\) 18.2346 20.5826i 1.20498 1.36014i 0.289802 0.957087i \(-0.406411\pi\)
0.915177 0.403053i \(-0.132051\pi\)
\(230\) −2.36136 + 1.77445i −0.155704 + 0.117004i
\(231\) −10.1580 12.4413i −0.668350 0.818580i
\(232\) −1.23967 + 7.62801i −0.0813885 + 0.500804i
\(233\) −15.6222 3.85052i −1.02344 0.252256i −0.308340 0.951276i \(-0.599774\pi\)
−0.715102 + 0.699020i \(0.753620\pi\)
\(234\) −3.71128 5.31562i −0.242614 0.347493i
\(235\) −5.50717 + 1.35739i −0.359248 + 0.0885467i
\(236\) −0.961179 11.9063i −0.0625674 0.775036i
\(237\) −8.64812 + 2.88717i −0.561756 + 0.187542i
\(238\) −22.4798 23.4040i −1.45715 1.51705i
\(239\) 7.96528i 0.515231i −0.966248 0.257616i \(-0.917063\pi\)
0.966248 0.257616i \(-0.0829368\pi\)
\(240\) 6.62733 6.36564i 0.427792 0.410900i
\(241\) 5.15758 + 4.21103i 0.332229 + 0.271256i 0.783846 0.620956i \(-0.213255\pi\)
−0.451617 + 0.892212i \(0.649153\pi\)
\(242\) 8.65005 16.4813i 0.556046 1.05946i
\(243\) −0.987050 + 0.160411i −0.0633193 + 0.0102904i
\(244\) −6.53738 + 4.13399i −0.418513 + 0.264651i
\(245\) −8.53078 + 4.04791i −0.545012 + 0.258611i
\(246\) 4.62729 6.70379i 0.295025 0.427418i
\(247\) −17.0617 + 2.86663i −1.08561 + 0.182399i
\(248\) 2.40399 + 3.48278i 0.152654 + 0.221157i
\(249\) 2.98265 + 1.72203i 0.189018 + 0.109129i
\(250\) 9.37765 + 19.7630i 0.593095 + 1.24992i
\(251\) 4.66645 + 1.55789i 0.294544 + 0.0983331i 0.460100 0.887867i \(-0.347814\pi\)
−0.165556 + 0.986200i \(0.552942\pi\)
\(252\) 1.02568 4.16136i 0.0646120 0.262141i
\(253\) 4.08209 0.164503i 0.256639 0.0103422i
\(254\) 36.3016 1.46290i 2.27776 0.0917907i
\(255\) −2.30879 + 9.36711i −0.144582 + 0.586591i
\(256\) 19.5933 + 6.54119i 1.22458 + 0.408824i
\(257\) 6.69604 + 14.1116i 0.417688 + 0.880258i 0.997836 + 0.0657473i \(0.0209431\pi\)
−0.580149 + 0.814511i \(0.697006\pi\)
\(258\) 1.72447 + 0.995621i 0.107361 + 0.0619847i
\(259\) −20.4478 29.6238i −1.27056 1.84073i
\(260\) −5.75397 5.92668i −0.356846 0.367557i
\(261\) 3.18337 4.61191i 0.197046 0.285470i
\(262\) −2.65389 + 1.25929i −0.163958 + 0.0777989i
\(263\) 20.2072 12.7783i 1.24603 0.787942i 0.261849 0.965109i \(-0.415668\pi\)
0.984181 + 0.177167i \(0.0566934\pi\)
\(264\) −6.28985 + 1.02220i −0.387113 + 0.0629121i
\(265\) −7.18658 + 13.6929i −0.441468 + 0.841147i
\(266\) −23.2300 18.9667i −1.42432 1.16292i
\(267\) −8.12286 + 7.80212i −0.497111 + 0.477482i
\(268\) 5.07874i 0.310234i
\(269\) 4.47415 + 4.65809i 0.272794 + 0.284009i 0.843481 0.537159i \(-0.180503\pi\)
−0.570687 + 0.821168i \(0.693323\pi\)
\(270\) −3.16893 + 1.05794i −0.192855 + 0.0643845i
\(271\) 1.02546 + 12.7026i 0.0622924 + 0.771629i 0.950207 + 0.311620i \(0.100872\pi\)
−0.887914 + 0.460009i \(0.847846\pi\)
\(272\) −24.9333 + 6.14550i −1.51180 + 0.372626i
\(273\) 12.1843 + 2.93406i 0.737426 + 0.177577i
\(274\) −37.6034 9.26841i −2.27171 0.559925i
\(275\) 1.14721 7.05905i 0.0691792 0.425676i
\(276\) 0.689467 + 0.844444i 0.0415011 + 0.0508296i
\(277\) −13.7537 + 10.3352i −0.826377 + 0.620982i −0.927471 0.373895i \(-0.878022\pi\)
0.101094 + 0.994877i \(0.467766\pi\)
\(278\) −22.4162 + 25.3026i −1.34443 + 1.51755i
\(279\) −0.492251 3.02894i −0.0294703 0.181338i
\(280\) −0.716673 + 8.87758i −0.0428294 + 0.530537i
\(281\) −3.17336 12.8748i −0.189307 0.768047i −0.986423 0.164222i \(-0.947489\pi\)
0.797117 0.603825i \(-0.206358\pi\)
\(282\) 1.52711 + 5.27220i 0.0909381 + 0.313955i
\(283\) 1.45699 + 7.13679i 0.0866088 + 0.424238i 0.999858 + 0.0168372i \(0.00535969\pi\)
−0.913249 + 0.407401i \(0.866435\pi\)
\(284\) 0.0571127 0.0466310i 0.00338901 0.00276704i
\(285\) −1.07465 + 8.85058i −0.0636571 + 0.524263i
\(286\) 4.96362 + 29.5427i 0.293505 + 1.74689i
\(287\) 1.89807 + 15.6320i 0.112039 + 0.922728i
\(288\) −4.42426 4.24956i −0.260702 0.250408i
\(289\) 6.89943 7.18307i 0.405849 0.422534i
\(290\) 8.02590 16.9142i 0.471297 0.993238i
\(291\) 7.69434 5.31102i 0.451050 0.311338i
\(292\) 1.55611 2.46079i 0.0910645 0.144007i
\(293\) −13.2905 17.6865i −0.776440 1.03325i −0.998306 0.0581765i \(-0.981471\pi\)
0.221867 0.975077i \(-0.428785\pi\)
\(294\) 4.24649 + 8.09101i 0.247660 + 0.471877i
\(295\) 3.60043 17.6361i 0.209625 1.02681i
\(296\) −14.2348 + 1.14915i −0.827383 + 0.0667933i
\(297\) 4.43837 + 1.28559i 0.257540 + 0.0745975i
\(298\) 23.2155 + 12.1844i 1.34484 + 0.705824i
\(299\) −2.45844 + 2.02929i −0.142175 + 0.117357i
\(300\) 1.68978 0.886864i 0.0975593 0.0512031i
\(301\) −3.77156 + 0.769970i −0.217389 + 0.0443803i
\(302\) 24.5656 + 18.4599i 1.41359 + 1.06225i
\(303\) −0.0579047 1.43689i −0.00332654 0.0825472i
\(304\) −22.1892 + 8.41527i −1.27264 + 0.482649i
\(305\) −11.1953 + 3.24275i −0.641040 + 0.185679i
\(306\) 9.14739 + 1.86745i 0.522921 + 0.106755i
\(307\) 3.46479 + 3.91093i 0.197746 + 0.223209i 0.839017 0.544106i \(-0.183131\pi\)
−0.641271 + 0.767315i \(0.721593\pi\)
\(308\) −12.5252 + 15.3405i −0.713688 + 0.874109i
\(309\) −0.136944 + 3.39824i −0.00779049 + 0.193319i
\(310\) −3.24650 9.72445i −0.184389 0.552311i
\(311\) 6.51133 5.76854i 0.369224 0.327104i −0.458025 0.888939i \(-0.651443\pi\)
0.827249 + 0.561835i \(0.189905\pi\)
\(312\) 3.42516 3.60440i 0.193912 0.204059i
\(313\) −12.0896 10.7104i −0.683344 0.605390i 0.248334 0.968674i \(-0.420117\pi\)
−0.931678 + 0.363285i \(0.881655\pi\)
\(314\) 12.3315 28.9431i 0.695906 1.63335i
\(315\) 3.22918 5.59311i 0.181944 0.315136i
\(316\) 5.62097 + 9.73581i 0.316204 + 0.547682i
\(317\) 17.0419 2.06926i 0.957170 0.116221i 0.372981 0.927839i \(-0.378336\pi\)
0.584189 + 0.811618i \(0.301413\pi\)
\(318\) 13.5202 + 6.41542i 0.758176 + 0.359759i
\(319\) −22.4253 + 12.9472i −1.25558 + 0.724907i
\(320\) −1.74157 1.20212i −0.0973567 0.0672005i
\(321\) 8.56812 3.65054i 0.478226 0.203753i
\(322\) −5.45418 0.886391i −0.303950 0.0493966i
\(323\) 14.9673 19.9178i 0.832802 1.10826i
\(324\) 0.437239 + 1.15290i 0.0242910 + 0.0640502i
\(325\) 2.61973 + 4.92719i 0.145316 + 0.273311i
\(326\) 1.89592 4.99912i 0.105005 0.276876i
\(327\) 6.32293 + 9.99892i 0.349659 + 0.552941i
\(328\) 5.74758 + 2.44882i 0.317357 + 0.135213i
\(329\) −8.96818 5.67113i −0.494432 0.312660i
\(330\) 15.3249 + 1.86078i 0.843610 + 0.102433i
\(331\) 5.59407 + 13.1298i 0.307478 + 0.721677i 1.00000 0.000280630i \(8.93272e-5\pi\)
−0.692522 + 0.721397i \(0.743500\pi\)
\(332\) 1.34477 4.02809i 0.0738041 0.221070i
\(333\) 9.68277 + 3.67219i 0.530612 + 0.201235i
\(334\) 26.9584 + 2.17631i 1.47510 + 0.119082i
\(335\) −2.12922 + 7.35092i −0.116332 + 0.401624i
\(336\) 17.1769 + 0.692204i 0.937074 + 0.0377628i
\(337\) −29.5083 −1.60742 −0.803710 0.595022i \(-0.797143\pi\)
−0.803710 + 0.595022i \(0.797143\pi\)
\(338\) −17.0304 16.0109i −0.926330 0.870878i
\(339\) 11.8267 0.642338
\(340\) 11.8860 + 0.478988i 0.644607 + 0.0259768i
\(341\) −3.94507 + 13.6200i −0.213637 + 0.737562i
\(342\) 8.59984 + 0.694251i 0.465026 + 0.0375408i
\(343\) 6.23372 + 2.36414i 0.336589 + 0.127651i
\(344\) −0.483622 + 1.44863i −0.0260752 + 0.0781047i
\(345\) 0.643902 + 1.51129i 0.0346665 + 0.0813653i
\(346\) −29.9115 3.63191i −1.60805 0.195253i
\(347\) 10.0607 + 6.36197i 0.540084 + 0.341529i 0.776494 0.630125i \(-0.216996\pi\)
−0.236409 + 0.971654i \(0.575971\pi\)
\(348\) −6.35684 2.70840i −0.340762 0.145185i
\(349\) −13.3242 21.0706i −0.713230 1.12788i −0.986152 0.165846i \(-0.946964\pi\)
0.272922 0.962036i \(-0.412010\pi\)
\(350\) −3.43010 + 9.04443i −0.183347 + 0.483445i
\(351\) −3.36436 + 1.29658i −0.179576 + 0.0692061i
\(352\) 10.0519 + 26.5046i 0.535765 + 1.41270i
\(353\) 11.7335 15.6144i 0.624510 0.831071i −0.370708 0.928749i \(-0.620885\pi\)
0.995218 + 0.0976778i \(0.0311415\pi\)
\(354\) −17.1933 2.79418i −0.913813 0.148509i
\(355\) 0.102214 0.0435493i 0.00542495 0.00231136i
\(356\) 11.4292 + 7.88903i 0.605748 + 0.418118i
\(357\) −15.6300 + 9.02396i −0.827225 + 0.477599i
\(358\) 17.9067 + 8.49683i 0.946398 + 0.449072i
\(359\) 29.3562 3.56449i 1.54936 0.188126i 0.699307 0.714822i \(-0.253492\pi\)
0.850054 + 0.526695i \(0.176569\pi\)
\(360\) −1.28117 2.21905i −0.0675236 0.116954i
\(361\) 2.01229 3.48539i 0.105910 0.183442i
\(362\) −6.32280 + 14.8402i −0.332319 + 0.779982i
\(363\) −7.74850 6.86457i −0.406691 0.360297i
\(364\) 0.539565 15.4436i 0.0282809 0.809466i
\(365\) 3.28397 2.90934i 0.171891 0.152282i
\(366\) 3.57178 + 10.6988i 0.186700 + 0.559234i
\(367\) 1.20508 29.9038i 0.0629047 1.56096i −0.592428 0.805623i \(-0.701831\pi\)
0.655333 0.755340i \(-0.272528\pi\)
\(368\) −2.76546 + 3.38707i −0.144160 + 0.176563i
\(369\) −3.00413 3.39096i −0.156389 0.176526i
\(370\) 33.8979 + 6.92030i 1.76227 + 0.359769i
\(371\) −27.7874 + 8.04873i −1.44265 + 0.417869i
\(372\) −3.53790 + 1.34175i −0.183431 + 0.0695663i
\(373\) −1.33524 33.1335i −0.0691359 1.71559i −0.546981 0.837145i \(-0.684223\pi\)
0.477845 0.878444i \(-0.341418\pi\)
\(374\) −34.4881 25.9161i −1.78334 1.34009i
\(375\) 11.9200 2.43349i 0.615546 0.125665i
\(376\) −3.72761 + 1.95640i −0.192237 + 0.100894i
\(377\) 7.82010 18.6304i 0.402756 0.959515i
\(378\) −5.53402 2.90448i −0.284639 0.149390i
\(379\) −25.7288 7.45243i −1.32160 0.382806i −0.458884 0.888496i \(-0.651751\pi\)
−0.862715 + 0.505691i \(0.831238\pi\)
\(380\) 10.9575 0.884584i 0.562110 0.0453782i
\(381\) 4.04165 19.7973i 0.207060 1.01425i
\(382\) −16.8423 32.0904i −0.861729 1.64189i
\(383\) 14.6257 + 19.4633i 0.747339 + 0.994527i 0.999639 + 0.0268783i \(0.00855667\pi\)
−0.252300 + 0.967649i \(0.581187\pi\)
\(384\) 5.46291 8.63890i 0.278778 0.440852i
\(385\) −24.5602 + 16.9527i −1.25170 + 0.863989i
\(386\) 3.72569 7.85172i 0.189633 0.399642i
\(387\) 0.767149 0.798687i 0.0389964 0.0405995i
\(388\) −8.31402 7.98573i −0.422081 0.405414i
\(389\) 0.970359 + 7.99163i 0.0491992 + 0.405192i 0.996415 + 0.0845960i \(0.0269600\pi\)
−0.947216 + 0.320596i \(0.896117\pi\)
\(390\) −10.3995 + 6.07859i −0.526597 + 0.307801i
\(391\) 0.553344 4.55719i 0.0279838 0.230467i
\(392\) −5.42867 + 4.43237i −0.274189 + 0.223869i
\(393\) 0.326783 + 1.60069i 0.0164840 + 0.0807440i
\(394\) −10.3424 35.7061i −0.521043 1.79885i
\(395\) 4.05408 + 16.4481i 0.203983 + 0.827592i
\(396\) 0.458466 5.67913i 0.0230388 0.285387i
\(397\) 3.43421 + 21.1315i 0.172358 + 1.06056i 0.918688 + 0.394985i \(0.129250\pi\)
−0.746330 + 0.665576i \(0.768186\pi\)
\(398\) −20.1689 + 22.7660i −1.01097 + 1.14115i
\(399\) −13.3337 + 10.0197i −0.667522 + 0.501610i
\(400\) 4.84104 + 5.92920i 0.242052 + 0.296460i
\(401\) 5.67279 34.9061i 0.283285 1.74313i −0.321657 0.946856i \(-0.604240\pi\)
0.604943 0.796269i \(-0.293196\pi\)
\(402\) 7.19086 + 1.77239i 0.358647 + 0.0883986i
\(403\) −3.97878 10.3241i −0.198197 0.514282i
\(404\) −1.72164 + 0.424347i −0.0856549 + 0.0211120i
\(405\) 0.149510 + 1.85201i 0.00742920 + 0.0920271i
\(406\) 33.2213 11.0909i 1.64875 0.550432i
\(407\) −33.1481 34.5108i −1.64309 1.71064i
\(408\) 7.16047i 0.354496i
\(409\) 2.18781 2.10142i 0.108180 0.103908i −0.636683 0.771125i \(-0.719694\pi\)
0.744863 + 0.667217i \(0.232515\pi\)
\(410\) −11.7237 9.57207i −0.578990 0.472731i
\(411\) −10.0098 + 19.0720i −0.493745 + 0.940752i
\(412\) 4.13923 0.672690i 0.203925 0.0331411i
\(413\) 28.4602 17.9971i 1.40043 0.885581i
\(414\) 1.43624 0.681503i 0.0705872 0.0334940i
\(415\) 3.63516 5.26643i 0.178443 0.258519i
\(416\) −18.7573 11.7213i −0.919653 0.574685i
\(417\) 10.6797 + 15.4723i 0.522989 + 0.757680i
\(418\) −34.5263 19.9337i −1.68873 0.974991i
\(419\) −1.09564 2.30900i −0.0535253 0.112802i 0.874926 0.484257i \(-0.160910\pi\)
−0.928451 + 0.371455i \(0.878859\pi\)
\(420\) −7.55354 2.52174i −0.368575 0.123048i
\(421\) 9.18310 37.2573i 0.447557 1.81581i −0.120369 0.992729i \(-0.538408\pi\)
0.567926 0.823080i \(-0.307746\pi\)
\(422\) −30.3572 + 1.22335i −1.47776 + 0.0595518i
\(423\) 3.05020 0.122919i 0.148306 0.00597653i
\(424\) −2.74681 + 11.1442i −0.133397 + 0.541212i
\(425\) −7.62257 2.54479i −0.369749 0.123440i
\(426\) −0.0460924 0.0971376i −0.00223318 0.00470633i
\(427\) −18.8832 10.9022i −0.913820 0.527594i
\(428\) −6.52348 9.45089i −0.315324 0.456826i
\(429\) 16.6135 + 1.25170i 0.802106 + 0.0604326i
\(430\) 2.10173 3.04487i 0.101354 0.146837i
\(431\) 19.4888 9.24755i 0.938742 0.445439i 0.103074 0.994674i \(-0.467132\pi\)
0.835668 + 0.549235i \(0.185081\pi\)
\(432\) −4.18005 + 2.64331i −0.201113 + 0.127176i
\(433\) −18.7302 + 3.04396i −0.900118 + 0.146283i −0.592825 0.805331i \(-0.701987\pi\)
−0.307293 + 0.951615i \(0.599423\pi\)
\(434\) 8.91292 16.9821i 0.427834 0.815169i
\(435\) −8.06535 6.58516i −0.386704 0.315734i
\(436\) 10.5203 10.1049i 0.503833 0.483938i
\(437\) 4.24241i 0.202942i
\(438\) −2.94112 3.06203i −0.140532 0.146309i
\(439\) 22.8941 7.64317i 1.09268 0.364789i 0.287473 0.957789i \(-0.407185\pi\)
0.805202 + 0.593000i \(0.202057\pi\)
\(440\) 0.952731 + 11.8017i 0.0454197 + 0.562624i
\(441\) 4.93428 1.21619i 0.234966 0.0579138i
\(442\) 33.6612 0.180201i 1.60110 0.00857128i
\(443\) 28.8992 + 7.12302i 1.37304 + 0.338425i 0.855753 0.517384i \(-0.173094\pi\)
0.517291 + 0.855809i \(0.326940\pi\)
\(444\) 2.04828 12.6036i 0.0972070 0.598139i
\(445\) 13.2351 + 16.2101i 0.627406 + 0.768433i
\(446\) −40.9123 + 30.7436i −1.93725 + 1.45575i
\(447\) 9.66940 10.9145i 0.457347 0.516238i
\(448\) −0.635037 3.90754i −0.0300027 0.184614i
\(449\) −1.54564 + 19.1462i −0.0729433 + 0.903565i 0.852020 + 0.523509i \(0.175377\pi\)
−0.924964 + 0.380056i \(0.875905\pi\)
\(450\) −0.665985 2.70201i −0.0313948 0.127374i
\(451\) 5.82407 + 20.1070i 0.274245 + 0.946803i
\(452\) −2.91691 14.2880i −0.137200 0.672050i
\(453\) 13.2378 10.8083i 0.621966 0.507819i
\(454\) 0.550142 4.53083i 0.0258194 0.212642i
\(455\) 7.25557 22.1267i 0.340146 1.03732i
\(456\) 0.797624 + 6.56902i 0.0373521 + 0.307623i
\(457\) 10.2463 + 9.84173i 0.479303 + 0.460377i 0.893012 0.450032i \(-0.148588\pi\)
−0.413709 + 0.910409i \(0.635767\pi\)
\(458\) −34.2506 + 35.6587i −1.60043 + 1.66622i
\(459\) 2.22590 4.69097i 0.103896 0.218956i
\(460\) 1.66700 1.15065i 0.0777243 0.0536492i
\(461\) −13.3496 + 21.1107i −0.621753 + 0.983223i 0.376629 + 0.926364i \(0.377083\pi\)
−0.998382 + 0.0568593i \(0.981891\pi\)
\(462\) 17.3492 + 23.0876i 0.807158 + 1.07413i
\(463\) −1.20984 2.30516i −0.0562262 0.107130i 0.855721 0.517437i \(-0.173114\pi\)
−0.911947 + 0.410307i \(0.865422\pi\)
\(464\) 5.54374 27.1550i 0.257361 1.26064i
\(465\) −5.68323 + 0.458798i −0.263554 + 0.0212762i
\(466\) 27.7881 + 8.04892i 1.28726 + 0.372859i
\(467\) −9.59430 5.03548i −0.443971 0.233014i 0.227896 0.973685i \(-0.426815\pi\)
−0.671868 + 0.740671i \(0.734508\pi\)
\(468\) 2.39619 + 3.74473i 0.110764 + 0.173100i
\(469\) −12.6770 + 6.65343i −0.585372 + 0.307227i
\(470\) 9.99248 2.03998i 0.460919 0.0940972i
\(471\) −13.9878 10.5111i −0.644523 0.484328i
\(472\) −0.537942 13.3489i −0.0247608 0.614433i
\(473\) −4.78472 + 1.81461i −0.220002 + 0.0834356i
\(474\) 15.7463 4.56097i 0.723251 0.209492i
\(475\) −7.27642 1.48549i −0.333865 0.0681590i
\(476\) 14.7569 + 16.6571i 0.676381 + 0.763477i
\(477\) 5.26377 6.44695i 0.241012 0.295186i
\(478\) −0.576692 + 14.3105i −0.0263773 + 0.654545i
\(479\) 4.92243 + 14.7445i 0.224912 + 0.673692i 0.999167 + 0.0408186i \(0.0129966\pi\)
−0.774255 + 0.632874i \(0.781875\pi\)
\(480\) −8.53169 + 7.55842i −0.389417 + 0.344993i
\(481\) 36.8861 + 5.79207i 1.68186 + 0.264096i
\(482\) −8.96124 7.93897i −0.408173 0.361610i
\(483\) −1.20458 + 2.82725i −0.0548101 + 0.128644i
\(484\) −6.38210 + 11.0541i −0.290095 + 0.502460i
\(485\) −8.68568 15.0440i −0.394397 0.683115i
\(486\) 1.78495 0.216733i 0.0809671 0.00983119i
\(487\) 0.157832 + 0.0748921i 0.00715204 + 0.00339369i 0.432265 0.901747i \(-0.357714\pi\)
−0.425113 + 0.905140i \(0.639766\pi\)
\(488\) −7.49185 + 4.32542i −0.339140 + 0.195803i
\(489\) −2.44715 1.68915i −0.110664 0.0763858i
\(490\) 15.6195 6.65485i 0.705618 0.300636i
\(491\) 34.0878 + 5.53980i 1.53836 + 0.250008i 0.869708 0.493567i \(-0.164307\pi\)
0.668653 + 0.743575i \(0.266871\pi\)
\(492\) −3.35572 + 4.46566i −0.151288 + 0.201327i
\(493\) 10.3179 + 27.2062i 0.464696 + 1.22530i
\(494\) 30.8607 3.91492i 1.38849 0.176141i
\(495\) 3.04451 8.02770i 0.136840 0.360818i
\(496\) −8.11147 12.8273i −0.364216 0.575961i
\(497\) 0.191216 + 0.0814696i 0.00857722 + 0.00365441i
\(498\) −5.23396 3.30976i −0.234540 0.148314i
\(499\) 33.9154 + 4.11807i 1.51826 + 0.184350i 0.836801 0.547506i \(-0.184423\pi\)
0.681459 + 0.731857i \(0.261346\pi\)
\(500\) −5.87985 13.8005i −0.262955 0.617178i
\(501\) 4.76326 14.2677i 0.212807 0.637434i
\(502\) −8.27097 3.13677i −0.369152 0.140001i
\(503\) 7.42635 + 0.599517i 0.331125 + 0.0267311i 0.244911 0.969546i \(-0.421241\pi\)
0.0862135 + 0.996277i \(0.472523\pi\)
\(504\) 1.33363 4.60423i 0.0594047 0.205089i
\(505\) −2.66979 0.107589i −0.118804 0.00478765i
\(506\) −7.34581 −0.326561
\(507\) −10.9125 + 7.06529i −0.484639 + 0.313781i
\(508\) −24.9142 −1.10539
\(509\) −32.9799 1.32904i −1.46181 0.0589088i −0.703448 0.710746i \(-0.748357\pi\)
−0.758359 + 0.651838i \(0.773998\pi\)
\(510\) 4.82616 16.6618i 0.213706 0.737799i
\(511\) 8.18097 + 0.660436i 0.361905 + 0.0292160i
\(512\) −15.6137 5.92149i −0.690034 0.261695i
\(513\) 1.51950 4.55145i 0.0670875 0.200951i
\(514\) −11.0084 25.8378i −0.485562 1.13966i
\(515\) 6.27310 + 0.761692i 0.276426 + 0.0335641i
\(516\) −1.15411 0.729816i −0.0508069 0.0321283i
\(517\) −12.9771 5.52902i −0.570732 0.243166i
\(518\) 34.5918 + 54.7026i 1.51988 + 2.40350i
\(519\) −5.94232 + 15.6686i −0.260839 + 0.687775i
\(520\) −6.16329 6.88233i −0.270278 0.301810i
\(521\) 0.147708 + 0.389475i 0.00647122 + 0.0170632i 0.938213 0.346059i \(-0.112480\pi\)
−0.931742 + 0.363122i \(0.881711\pi\)
\(522\) −6.05316 + 8.05530i −0.264940 + 0.352571i
\(523\) −36.7759 5.97666i −1.60810 0.261341i −0.711006 0.703186i \(-0.751760\pi\)
−0.897091 + 0.441845i \(0.854324\pi\)
\(524\) 1.85321 0.789580i 0.0809580 0.0344930i
\(525\) 4.42740 + 3.05601i 0.193227 + 0.133375i
\(526\) −37.2295 + 21.4945i −1.62328 + 0.937204i
\(527\) 14.3951 + 6.83057i 0.627061 + 0.297544i
\(528\) 22.6865 2.75464i 0.987303 0.119880i
\(529\) 11.1092 + 19.2416i 0.483007 + 0.836592i
\(530\) 13.9028 24.0804i 0.603900 1.04599i
\(531\) −3.79720 + 8.91236i −0.164785 + 0.386764i
\(532\) 15.3935 + 13.6374i 0.667391 + 0.591257i
\(533\) −13.1105 9.74256i −0.567881 0.421997i
\(534\) 15.1585 13.4292i 0.655970 0.581139i
\(535\) −5.47981 16.4140i −0.236913 0.709641i
\(536\) −0.228719 + 5.67562i −0.00987918 + 0.245149i
\(537\) 6.97155 8.53860i 0.300845 0.368468i
\(538\) −7.70103 8.69267i −0.332015 0.374768i
\(539\) −23.0082 4.69715i −0.991032 0.202321i
\(540\) 2.20056 0.637400i 0.0946971 0.0274293i
\(541\) −24.7025 + 9.36844i −1.06205 + 0.402781i −0.822890 0.568201i \(-0.807640\pi\)
−0.239155 + 0.970981i \(0.576870\pi\)
\(542\) −0.922671 22.8958i −0.0396321 0.983460i
\(543\) 7.17204 + 5.38944i 0.307782 + 0.231283i
\(544\) 31.2087 6.37130i 1.33806 0.273167i
\(545\) 19.4634 10.2152i 0.833722 0.437571i
\(546\) −21.6779 6.15349i −0.927729 0.263345i
\(547\) −16.4032 8.60907i −0.701350 0.368097i 0.0760492 0.997104i \(-0.475769\pi\)
−0.777400 + 0.629007i \(0.783462\pi\)
\(548\) 25.5099 + 7.38903i 1.08973 + 0.315644i
\(549\) 6.25266 0.504767i 0.266857 0.0215429i
\(550\) −2.57216 + 12.5993i −0.109677 + 0.537234i
\(551\) 12.4962 + 23.8096i 0.532358 + 1.01432i
\(552\) 0.732467 + 0.974736i 0.0311759 + 0.0414875i
\(553\) −16.9378 + 26.7849i −0.720267 + 1.13901i
\(554\) 25.4582 17.5725i 1.08161 0.746584i
\(555\) 8.24860 17.3835i 0.350133 0.737891i
\(556\) 16.0582 16.7184i 0.681019 0.709016i
\(557\) 20.2747 + 19.4741i 0.859065 + 0.825143i 0.985996 0.166768i \(-0.0533332\pi\)
−0.126931 + 0.991912i \(0.540513\pi\)
\(558\) 0.665084 + 5.47746i 0.0281552 + 0.231879i
\(559\) 2.11598 3.38616i 0.0894966 0.143219i
\(560\) 3.85007 31.7082i 0.162695 1.33992i
\(561\) −18.5848 + 15.1740i −0.784650 + 0.640647i
\(562\) 4.76912 + 23.3607i 0.201173 + 0.985412i
\(563\) 10.5034 + 36.2619i 0.442665 + 1.52826i 0.803315 + 0.595554i \(0.203068\pi\)
−0.360650 + 0.932701i \(0.617445\pi\)
\(564\) −0.900795 3.65467i −0.0379303 0.153889i
\(565\) 1.76821 21.9032i 0.0743890 0.921473i
\(566\) −2.10092 12.9275i −0.0883082 0.543382i
\(567\) −2.30495 + 2.60176i −0.0967990 + 0.109263i
\(568\) 0.0659247 0.0495392i 0.00276614 0.00207862i
\(569\) 24.1174 + 29.5384i 1.01105 + 1.23832i 0.970991 + 0.239118i \(0.0768582\pi\)
0.0400624 + 0.999197i \(0.487244\pi\)
\(570\) 2.57152 15.8232i 0.107709 0.662760i
\(571\) −9.94823 2.45202i −0.416320 0.102614i 0.0255909 0.999672i \(-0.491853\pi\)
−0.441911 + 0.897059i \(0.645699\pi\)
\(572\) −2.58532 20.3797i −0.108098 0.852117i
\(573\) −19.5702 + 4.82363i −0.817559 + 0.201510i
\(574\) −2.27831 28.2220i −0.0950949 1.17796i
\(575\) −1.29795 + 0.433321i −0.0541284 + 0.0180707i
\(576\) 0.788962 + 0.821396i 0.0328734 + 0.0342248i
\(577\) 35.1033i 1.46137i −0.682716 0.730684i \(-0.739201\pi\)
0.682716 0.730684i \(-0.260799\pi\)
\(578\) −12.9156 + 12.4056i −0.537219 + 0.516006i
\(579\) −3.74400 3.05688i −0.155595 0.127040i
\(580\) −5.96639 + 11.3680i −0.247741 + 0.472030i
\(581\) 11.8162 1.92033i 0.490220 0.0796685i
\(582\) −14.2082 + 8.98473i −0.588949 + 0.372429i
\(583\) −34.7453 + 16.4869i −1.43901 + 0.682817i
\(584\) 1.84981 2.67992i 0.0765458 0.110896i
\(585\) 1.89827 + 6.42467i 0.0784836 + 0.265627i
\(586\) 22.5973 + 32.7378i 0.933485 + 1.35239i
\(587\) −3.67936 2.12428i −0.151863 0.0876783i 0.422143 0.906529i \(-0.361278\pi\)
−0.574006 + 0.818851i \(0.694611\pi\)
\(588\) −2.68627 5.66120i −0.110780 0.233464i
\(589\) 13.9670 + 4.66286i 0.575499 + 0.192130i
\(590\) −7.74541 + 31.4244i −0.318874 + 1.29372i
\(591\) −20.6576 + 0.832473i −0.849740 + 0.0342434i
\(592\) 51.1747 2.06227i 2.10327 0.0847588i
\(593\) 2.36353 9.58922i 0.0970586 0.393782i −0.902240 0.431235i \(-0.858078\pi\)
0.999298 + 0.0374524i \(0.0119243\pi\)
\(594\) −7.88092 2.63104i −0.323358 0.107953i
\(595\) 14.3756 + 30.2960i 0.589344 + 1.24202i
\(596\) −15.5708 8.98979i −0.637804 0.368236i
\(597\) 9.60905 + 13.9211i 0.393272 + 0.569753i
\(598\) 4.56377 3.46783i 0.186627 0.141810i
\(599\) 15.8896 23.0200i 0.649230 0.940572i −0.350762 0.936465i \(-0.614077\pi\)
0.999992 0.00410701i \(-0.00130731\pi\)
\(600\) 1.92831 0.914992i 0.0787227 0.0373544i
\(601\) −32.8351 + 20.7636i −1.33937 + 0.846967i −0.995746 0.0921403i \(-0.970629\pi\)
−0.343625 + 0.939107i \(0.611655\pi\)
\(602\) 6.83175 1.11027i 0.278441 0.0452511i
\(603\) 1.91415 3.64712i 0.0779504 0.148522i
\(604\) −16.3226 13.3270i −0.664157 0.542268i
\(605\) −13.8717 + 13.3240i −0.563966 + 0.541697i
\(606\) 2.58572i 0.105038i
\(607\) −23.2543 24.2103i −0.943862 0.982665i 0.0560135 0.998430i \(-0.482161\pi\)
−0.999876 + 0.0157654i \(0.994982\pi\)
\(608\) 27.9211 9.32144i 1.13235 0.378034i
\(609\) −1.56738 19.4154i −0.0635133 0.786753i
\(610\) 20.3483 5.01540i 0.823877 0.203067i
\(611\) 10.6725 2.69122i 0.431763 0.108875i
\(612\) −6.21621 1.53216i −0.251276 0.0619339i
\(613\) −2.03619 + 12.5292i −0.0822410 + 0.506049i 0.912948 + 0.408076i \(0.133800\pi\)
−0.995189 + 0.0979734i \(0.968764\pi\)
\(614\) −5.94170 7.27726i −0.239787 0.293686i
\(615\) −6.72923 + 5.05669i −0.271349 + 0.203905i
\(616\) −14.6880 + 16.5794i −0.591797 + 0.668001i
\(617\) −3.88689 23.9170i −0.156480 0.962862i −0.939920 0.341394i \(-0.889101\pi\)
0.783440 0.621468i \(-0.213463\pi\)
\(618\) 0.492070 6.09538i 0.0197939 0.245192i
\(619\) 2.22437 + 9.02461i 0.0894049 + 0.362730i 0.998555 0.0537387i \(-0.0171138\pi\)
−0.909150 + 0.416468i \(0.863268\pi\)
\(620\) 1.95598 + 6.75282i 0.0785540 + 0.271200i
\(621\) −0.176849 0.866264i −0.00709671 0.0347620i
\(622\) −12.1159 + 9.89236i −0.485805 + 0.396647i
\(623\) −4.71889 + 38.8635i −0.189058 + 1.55704i
\(624\) −12.7941 + 12.4213i −0.512176 + 0.497250i
\(625\) −1.79191 14.7577i −0.0716763 0.590307i
\(626\) 20.9448 + 20.1177i 0.837121 + 0.804066i
\(627\) −15.3594 + 15.9908i −0.613396 + 0.638613i
\(628\) −9.24872 + 19.4913i −0.369064 + 0.777786i
\(629\) −44.2517 + 30.5448i −1.76443 + 1.21790i
\(630\) −6.20651 + 9.81481i −0.247273 + 0.391031i
\(631\) 13.7172 + 18.2543i 0.546075 + 0.726694i 0.985138 0.171762i \(-0.0549461\pi\)
−0.439064 + 0.898456i \(0.644690\pi\)
\(632\) 5.84312 + 11.1331i 0.232427 + 0.442852i
\(633\) −3.37983 + 16.5555i −0.134336 + 0.658021i
\(634\) −30.7674 + 2.48380i −1.22193 + 0.0986444i
\(635\) −36.0605 10.4451i −1.43102 0.414499i
\(636\) −9.08689 4.76917i −0.360319 0.189110i
\(637\) 16.5119 7.94354i 0.654223 0.314735i
\(638\) 41.2268 21.6375i 1.63218 0.856636i
\(639\) −0.0585884 + 0.0119609i −0.00231772 + 0.000473166i
\(640\) −15.1826 11.4090i −0.600144 0.450979i
\(641\) 0.831397 + 20.6309i 0.0328382 + 0.814872i 0.928765 + 0.370670i \(0.120872\pi\)
−0.895927 + 0.444202i \(0.853487\pi\)
\(642\) −15.6578 + 5.93823i −0.617965 + 0.234363i
\(643\) 8.65891 2.50808i 0.341474 0.0989091i −0.103050 0.994676i \(-0.532860\pi\)
0.444524 + 0.895767i \(0.353373\pi\)
\(644\) 3.71272 + 0.757958i 0.146302 + 0.0298677i
\(645\) −1.36448 1.54018i −0.0537263 0.0606445i
\(646\) −28.3324 + 34.7008i −1.11472 + 1.36529i
\(647\) 0.519809 12.8989i 0.0204358 0.507109i −0.956265 0.292502i \(-0.905512\pi\)
0.976701 0.214607i \(-0.0688469\pi\)
\(648\) 0.436704 + 1.30809i 0.0171553 + 0.0513865i
\(649\) 33.5066 29.6843i 1.31525 1.16521i
\(650\) −4.34988 9.04188i −0.170616 0.354652i
\(651\) −7.98397 7.07318i −0.312916 0.277220i
\(652\) −1.43712 + 3.37304i −0.0562819 + 0.132098i
\(653\) −19.1608 + 33.1875i −0.749820 + 1.29873i 0.198089 + 0.980184i \(0.436527\pi\)
−0.947909 + 0.318542i \(0.896807\pi\)
\(654\) −10.6359 18.4219i −0.415896 0.720353i
\(655\) 3.01335 0.365886i 0.117741 0.0142964i
\(656\) −20.2421 9.60501i −0.790322 0.375013i
\(657\) −2.04493 + 1.18064i −0.0797802 + 0.0460611i
\(658\) 15.7017 + 10.8381i 0.612115 + 0.422512i
\(659\) −0.551438 + 0.234946i −0.0214810 + 0.00915219i −0.402680 0.915341i \(-0.631921\pi\)
0.381199 + 0.924493i \(0.375511\pi\)
\(660\) −10.4493 1.69817i −0.406737 0.0661011i
\(661\) −25.0869 + 33.3846i −0.975768 + 1.29851i −0.0214333 + 0.999770i \(0.506823\pi\)
−0.954334 + 0.298741i \(0.903433\pi\)
\(662\) −9.09973 23.9940i −0.353671 0.932554i
\(663\) 4.38287 18.2008i 0.170217 0.706860i
\(664\) 1.68422 4.44093i 0.0653604 0.172341i
\(665\) 16.5630 + 26.1922i 0.642284 + 1.01569i
\(666\) −17.1302 7.29851i −0.663783 0.282812i
\(667\) 4.18755 + 2.64805i 0.162143 + 0.102533i
\(668\) −18.4118 2.23560i −0.712374 0.0864978i
\(669\) 11.1561 + 26.1842i 0.431318 + 1.01234i
\(670\) 4.35758 13.0525i 0.168348 0.504264i
\(671\) −27.1027 10.2787i −1.04629 0.396805i
\(672\) −21.2540 1.71580i −0.819892 0.0661885i
\(673\) 2.84979 9.83861i 0.109851 0.379251i −0.886689 0.462367i \(-0.847000\pi\)
0.996540 + 0.0831166i \(0.0264874\pi\)
\(674\) 53.0147 + 2.13642i 2.04205 + 0.0822919i
\(675\) −1.54771 −0.0595712
\(676\) 11.2271 + 11.4409i 0.431811 + 0.440034i
\(677\) −35.7128 −1.37256 −0.686278 0.727340i \(-0.740757\pi\)
−0.686278 + 0.727340i \(0.740757\pi\)
\(678\) −21.2479 0.856261i −0.816021 0.0328845i
\(679\) 9.04135 31.2143i 0.346975 1.19790i
\(680\) 13.2613 + 1.07056i 0.508546 + 0.0410541i
\(681\) −2.37339 0.900110i −0.0909487 0.0344923i
\(682\) 8.07382 24.1841i 0.309163 0.926055i
\(683\) −6.74025 15.8200i −0.257909 0.605334i 0.739812 0.672814i \(-0.234914\pi\)
−0.997721 + 0.0674799i \(0.978504\pi\)
\(684\) −5.87343 0.713163i −0.224576 0.0272685i
\(685\) 33.8250 + 21.3896i 1.29239 + 0.817255i
\(686\) −11.0284 4.69875i −0.421065 0.179399i
\(687\) 14.6968 + 23.2411i 0.560718 + 0.886705i
\(688\) 1.94219 5.12113i 0.0740453 0.195241i
\(689\) 13.8033 26.6456i 0.525862 1.01512i
\(690\) −1.04742 2.76182i −0.0398745 0.105141i
\(691\) 16.6760 22.1917i 0.634384 0.844212i −0.361730 0.932283i \(-0.617814\pi\)
0.996114 + 0.0880711i \(0.0280703\pi\)
\(692\) 20.3950 + 3.31451i 0.775303 + 0.125999i
\(693\) 14.7763 6.29558i 0.561304 0.239149i
\(694\) −17.6144 12.1584i −0.668634 0.461525i
\(695\) 30.2515 17.4657i 1.14751 0.662512i
\(696\) −6.98195 3.31297i −0.264650 0.125578i
\(697\) 23.3510 2.83532i 0.884481 0.107395i
\(698\) 22.4129 + 38.8202i 0.848339 + 1.46937i
\(699\) 8.04485 13.9341i 0.304284 0.527036i
\(700\) 2.60004 6.10252i 0.0982723 0.230654i
\(701\) −26.1960 23.2076i −0.989407 0.876539i 0.00294242 0.999996i \(-0.499063\pi\)
−0.992350 + 0.123457i \(0.960602\pi\)
\(702\) 6.13829 2.08585i 0.231675 0.0787254i
\(703\) −37.1941 + 32.9511i −1.40280 + 1.24277i
\(704\) −1.66655 4.99192i −0.0628104 0.188140i
\(705\) 0.228388 5.66738i 0.00860158 0.213446i
\(706\) −22.2109 + 27.2034i −0.835919 + 1.02381i
\(707\) −3.31466 3.74147i −0.124660 0.140713i
\(708\) 11.7037 + 2.38932i 0.439851 + 0.0897962i
\(709\) 3.28236 0.950746i 0.123272 0.0357060i −0.216008 0.976392i \(-0.569304\pi\)
0.339280 + 0.940685i \(0.389817\pi\)
\(710\) −0.186791 + 0.0708405i −0.00701014 + 0.00265860i
\(711\) −0.367118 9.10994i −0.0137680 0.341649i
\(712\) 12.4172 + 9.33089i 0.465353 + 0.349690i
\(713\) 2.65829 0.542694i 0.0995537 0.0203240i
\(714\) 28.7342 15.0809i 1.07535 0.564388i
\(715\) 4.80204 30.5812i 0.179586 1.14367i
\(716\) −12.0350 6.31647i −0.449770 0.236058i
\(717\) 7.65079 + 2.21608i 0.285724 + 0.0827610i
\(718\) −52.9995 + 4.27857i −1.97793 + 0.159675i
\(719\) −6.79435 + 33.2809i −0.253387 + 1.24117i 0.631505 + 0.775372i \(0.282438\pi\)
−0.884891 + 0.465798i \(0.845767\pi\)
\(720\) 4.27047 + 8.13670i 0.159151 + 0.303237i
\(721\) 7.10171 + 9.45066i 0.264481 + 0.351961i
\(722\) −3.86764 + 6.11618i −0.143939 + 0.227621i
\(723\) −5.47970 + 3.78236i −0.203792 + 0.140668i
\(724\) 4.74215 9.99387i 0.176241 0.371419i
\(725\) 6.00812 6.25511i 0.223136 0.232309i
\(726\) 13.4240 + 12.8939i 0.498211 + 0.478538i
\(727\) 1.09159 + 8.99009i 0.0404850 + 0.333424i 0.998853 + 0.0478871i \(0.0152488\pi\)
−0.958368 + 0.285537i \(0.907828\pi\)
\(728\) 1.29847 17.2343i 0.0481247 0.638746i
\(729\) 0.120537 0.992709i 0.00446432 0.0367670i
\(730\) −6.11063 + 4.98917i −0.226165 + 0.184658i
\(731\) 1.15017 + 5.63393i 0.0425408 + 0.208378i
\(732\) −2.15196 7.42942i −0.0795386 0.274599i
\(733\) 2.71152 + 11.0011i 0.100152 + 0.406333i 0.999524 0.0308513i \(-0.00982182\pi\)
−0.899372 + 0.437185i \(0.855976\pi\)
\(734\) −4.33011 + 53.6380i −0.159827 + 1.97981i
\(735\) −1.51467 9.32017i −0.0558696 0.343780i
\(736\) 3.59661 4.05974i 0.132573 0.149644i
\(737\) −15.2156 + 11.4338i −0.560472 + 0.421168i
\(738\) 5.15172 + 6.30971i 0.189637 + 0.232264i
\(739\) 7.06978 43.5021i 0.260066 1.60025i −0.447953 0.894057i \(-0.647847\pi\)
0.708019 0.706193i \(-0.249589\pi\)
\(740\) −23.0357 5.67779i −0.846809 0.208720i
\(741\) 1.99342 17.1856i 0.0732300 0.631330i
\(742\) 50.5058 12.4486i 1.85412 0.457001i
\(743\) −3.57682 44.3069i −0.131221 1.62546i −0.642667 0.766146i \(-0.722172\pi\)
0.511446 0.859315i \(-0.329110\pi\)
\(744\) −4.01411 + 1.34011i −0.147164 + 0.0491307i
\(745\) −18.7681 19.5396i −0.687609 0.715877i
\(746\) 59.6245i 2.18301i
\(747\) −2.48387 + 2.38579i −0.0908800 + 0.0872914i
\(748\) 22.9156 + 18.7100i 0.837877 + 0.684105i
\(749\) 15.0442 28.6644i 0.549705 1.04738i
\(750\) −21.5917 + 3.50900i −0.788418 + 0.128130i
\(751\) 2.88494 1.82432i 0.105273 0.0665705i −0.480792 0.876835i \(-0.659651\pi\)
0.586065 + 0.810264i \(0.300676\pi\)
\(752\) 13.6400 6.47224i 0.497398 0.236018i
\(753\) −2.79467 + 4.04878i −0.101843 + 0.147546i
\(754\) −15.3985 + 32.9053i −0.560780 + 1.19834i
\(755\) −18.0379 26.1325i −0.656468 0.951058i
\(756\) 3.71170 + 2.14295i 0.134993 + 0.0779384i
\(757\) −7.36132 15.5137i −0.267552 0.563853i 0.724560 0.689212i \(-0.242043\pi\)
−0.992111 + 0.125359i \(0.959992\pi\)
\(758\) 45.6849 + 15.2519i 1.65935 + 0.553972i
\(759\) −0.977701 + 3.96669i −0.0354883 + 0.143982i
\(760\) 12.2851 0.495074i 0.445629 0.0179582i
\(761\) −4.66835 + 0.188128i −0.169228 + 0.00681964i −0.124735 0.992190i \(-0.539808\pi\)
−0.0444925 + 0.999010i \(0.514167\pi\)
\(762\) −8.69458 + 35.2753i −0.314971 + 1.27789i
\(763\) 39.0051 + 13.0218i 1.41208 + 0.471421i
\(764\) 10.6543 + 22.4534i 0.385457 + 0.812334i
\(765\) −8.35494 4.82373i −0.302073 0.174402i
\(766\) −24.8675 36.0267i −0.898498 1.30170i
\(767\) −6.80339 + 34.2600i −0.245656 + 1.23706i
\(768\) −11.7341 + 16.9998i −0.423419 + 0.613428i
\(769\) −2.74590 + 1.30295i −0.0990198 + 0.0469855i −0.477558 0.878600i \(-0.658478\pi\)
0.378538 + 0.925586i \(0.376427\pi\)
\(770\) 45.3524 28.6791i 1.63439 1.03352i
\(771\) −15.4174 + 2.50557i −0.555244 + 0.0902360i
\(772\) −2.76964 + 5.27711i −0.0996816 + 0.189928i
\(773\) −4.88278 3.98667i −0.175622 0.143391i